Nuprl Lemma : decidable__ex_unit
∀[P:Unit ─→ ℙ]. (Dec(P[⋅]) ⇒ Dec(∃x:Unit. P[x]))
Proof
Definitions occuring in Statement :
decidable: Dec(P),
it: ⋅,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s],
exists: ∃x:A. B[x],
implies: P ⇒ Q,
unit: Unit,
function: x:A ─→ B[x]
Lemmas :
decidable-exists-finite,
finite-type-unit,
decidable_wf,
it_wf,
unit_wf2
\mforall{}[P:Unit {}\mrightarrow{} \mBbbP{}]. (Dec(P[\mcdot{}]) {}\mRightarrow{} Dec(\mexists{}x:Unit. P[x]))
Date html generated:
2015_07_17-AM-09_05_13
Last ObjectModification:
2015_01_27-PM-00_54_32
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